5. Find the general solution of the non-homogenous differential equation. y" – 7y' +12y = ek
Find the general solution of the differential equation nts y" – 7y' +12y = 2te3+ +1 - t y(t) = 20e3+ + boe4 – 2te3 – 12e31 - í y(t) = ape?+ boet! – 2te3 – 12e3! + y(t) = do Cost + bo sint + fr sint - t? cost – cos(21) y(t) = ao + boe?' – št-5te3+ + 372e34 y(t) = (ao + ajt)e3! + 312e3!
3. Find the general solution of the homogenous differential equation. y" - 10y' + 29y = 0
Find a general solution to the given differential equation. 32y" - 12y' - 9y = 0 A general solution is y(t) = 0
Find the general solution to the differential equation: ty'+2y =t3, and what are the homogenous solutions. Find the general solution to the differential equation: ty'+2y = 3
Find the general solution of the following non-homogeneous differential equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be the general solution you find, when happen if we take lim t→+∞ y(t)? 2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
1. (9) Find the general solution to the differential equation. 1) y" - 6y' +9y = 0 2) y" - y' - 2y = 0 3) y" - 4y' + 7y = 0
Diff Eq Find the general solution of the given higher-order differential equation. y" - 6y" - 7y' = 0
Consider the differential equation: y" + 12y' + 36 = 6x2 + 5e-52. a. Find the general solution to the corresponding homogeneous equation. In your answer, use cy and ca to denote arbitrary constants. Enter C as c1 and ca as c2. Yc = b. Apply the method of undetermined coefficients to find a particular solution. Yp = Submit answer
diferential equation Page 2 3. Give the general solution to the differential equation (First Order Homogenous Equation): -1² + y 2 dy dr ту Hint: Let y = r-(I). e
I need help with these! 3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...